relation: http://eprints.zu.edu.ua/13248/
title: T-Convolution and its applications to n-dimensional distributions
creator: Pogoruі, А. А.
creator: Kovalenкo, D. О.
creator: Rodríguez-Dagnіno, Ramón М.
subject: Mathematical Analysis
description: In this paper we introduce the notion of T-convolution, which is a generalization of  convolution to higher dimensions. By using T-convolution we construct n-dimensional distributions  having n+1 axes of symmetry. In addition, we can generalize well-known symmetric  probability distributions in one dimension to higher dimensions. In particular, we consider  generalizations of Laplace and triangle continuous distributions and we show their plots in the  two-dimensional case. As an example of discrete distributions, we study the T-convolution of  Poisson distributions in the plane.
publisher: ROSE
date: 2009
type: Article
type: PeerReviewed
format: text
language: uk
identifier: http://eprints.zu.edu.ua/13248/1/rose.17.4.020.pdf
identifier:   Pogoruі, А. А. and Kovalenкo, D. О. and Rodríguez-Dagnіno, Ramón М.  (2009) T-Convolution and its applications to n-dimensional distributions.  Stochastic Eqs (17).  pp. 349-363.      
language: english